Question

Solve the equation. Write your answer as an integer or simplified fraction.

5n−6 n−2 =19
n = _____

Answer 1

Explaination :

The given equation,

• 
  `\boxed{\sf{5n \: - 6(n - 2) \: = \: 19}} \: \bigstar`

Lets start solving it..!!

★ Multiplying -6 by (n -2),

`\implies \: \sf{5n \: - 6 * (n - 2) \: = \: 19}`

`\implies \: \sf{5n \: - 6n + 12 \: = \: 19}`

★ Subtracting 5n from 6n,

`\implies \: \sf{ - n + 12 \: = \: 19}`

★ Transposing 12 from L.H.S. to R.H.S. it would be in negative,

`\implies \: \sf{ - n \: = \: 19 - 12}`

★ On subtracting 12 from 19 we gets,

`\implies \: \sf{ - n \: = \: 7}`

★ Now,

`\implies \: \red{\bf{ n \: = \: - 7} }`

Therefore,

• Value of n is -7